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math.PR2013
On the quasi-invariance of the Wiener measure on path spaces and the anticipative integrals over a Riemannian manifold
Adnan Aboulalaa
Some parts of stochastic analysis on curved spaces are revisted. A concise proof of the quasi-invariance of the Wiener measure on the path spaces over a Riemannian manifold is pres…
math.PR2013
Stochastic Hyperbolic Systems, Small Perturbations and Pathwise Approximation
Adnan Aboulalaa
This paper is devoted to the study of hyperbolic systems of linear partial differential equations perturbed by a Brownian motion. The existence and uniqueness of solutions are prov…